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Reference Guide
kdTreeBinning.C
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1/// \file
2/// \ingroup tutorial_math
3/// \notebook
4/// kdTreeBinning tutorial: bin the data in cells of equal content using a kd-tree
5///
6/// Using TKDTree wrapper class as a data binning structure
7/// Plot the 2D data using the TH2Poly class
8///
9/// \macro_image
10/// \macro_output
11/// \macro_code
12///
13/// \author Bartolomeu Rabacal
14
15#include <math.h>
16
17#include "TKDTreeBinning.h"
18#include "TH2D.h"
19#include "TH2Poly.h"
20#include "TStyle.h"
21#include "TGraph2D.h"
22#include "TRandom3.h"
23#include "TCanvas.h"
24#include <iostream>
25
26void kdTreeBinning() {
27
28 // -----------------------------------------------------------------------------------------------
29 // Create random sample with regular binning plotting
30
31 const UInt_t DATASZ = 10000;
32 const UInt_t DATADIM = 2;
33 const UInt_t NBINS = 50;
34
35 Double_t smp[DATASZ * DATADIM];
36
37 double mu[2] = {0,2};
38 double sig[2] = {2,3};
39 TRandom3 r;
40 r.SetSeed(1);
41 for (UInt_t i = 0; i < DATADIM; ++i)
42 for (UInt_t j = 0; j < DATASZ; ++j)
43 smp[DATASZ * i + j] = r.Gaus(mu[i], sig[i]);
44
45 UInt_t h1bins = (UInt_t) sqrt(NBINS);
46
47 TH2D* h1 = new TH2D("h1BinTest", "Regular binning", h1bins, -5., 5., h1bins, -5., 5.);
48 for (UInt_t j = 0; j < DATASZ; ++j)
49 h1->Fill(smp[j], smp[DATASZ + j]);
50
51
52 // ---------------------------------------------------------------------------------------------
53 // Create KDTreeBinning object with TH2Poly plotting
54
55 TKDTreeBinning* kdBins = new TKDTreeBinning(DATASZ, DATADIM, smp, NBINS);
56
57 UInt_t nbins = kdBins->GetNBins();
58 UInt_t dim = kdBins->GetDim();
59
60 const Double_t* binsMinEdges = kdBins->GetBinsMinEdges();
61 const Double_t* binsMaxEdges = kdBins->GetBinsMaxEdges();
62
63 TH2Poly* h2pol = new TH2Poly("h2PolyBinTest", "KDTree binning", kdBins->GetDataMin(0), kdBins->GetDataMax(0), kdBins->GetDataMin(1), kdBins->GetDataMax(1));
64
65 for (UInt_t i = 0; i < nbins; ++i) {
66 UInt_t edgeDim = i * dim;
67 h2pol->AddBin(binsMinEdges[edgeDim], binsMinEdges[edgeDim + 1], binsMaxEdges[edgeDim], binsMaxEdges[edgeDim + 1]);
68 }
69
70 for (UInt_t i = 1; i <= kdBins->GetNBins(); ++i)
71 h2pol->SetBinContent(i, kdBins->GetBinDensity(i - 1));
72
73 std::cout << "Bin with minimum density: " << kdBins->GetBinMinDensity() << std::endl;
74 std::cout << "Bin with maximum density: " << kdBins->GetBinMaxDensity() << std::endl;
75
76 TCanvas* c1 = new TCanvas("glc1", "TH2Poly from a kdTree",0,0,600,800);
77 c1->Divide(1,3);
78 c1->cd(1);
79 h1->Draw("lego");
80
81 c1->cd(2);
82 h2pol->Draw("COLZ L");
83 c1->Update();
84
85 //-------------------------------------------------
86 // Draw an equivalent plot showing the data points
87
88
89 std::vector<Double_t> z = std::vector<Double_t>(DATASZ, 0.);
90 for (UInt_t i = 0; i < DATASZ; ++i)
91 z[i] = (Double_t) h2pol->GetBinContent(h2pol->FindBin(smp[i], smp[DATASZ + i]));
92
93 TGraph2D *g = new TGraph2D(DATASZ, smp, &smp[DATASZ], &z[0]);
94 g->SetMarkerStyle(20);
95
96 c1->cd(3);
97 g->Draw("pcol");
98 c1->Update();
99
100 // ---------------------------------------------------------
101 // make a new TH2Poly where bins are ordered by the density
102
103 TH2Poly* h2polrebin = new TH2Poly("h2PolyBinTest", "KDTree binning", kdBins->GetDataMin(0), kdBins->GetDataMax(0), kdBins->GetDataMin(1), kdBins->GetDataMax(1));
104 h2polrebin->SetFloat();
105
106 //---------------------------------
107 // Sort the bins by their density
108
109 kdBins->SortBinsByDensity();
110
111 for (UInt_t i = 0; i < kdBins->GetNBins(); ++i) {
112 const Double_t* binMinEdges = kdBins->GetBinMinEdges(i);
113 const Double_t* binMaxEdges = kdBins->GetBinMaxEdges(i);
114 h2polrebin->AddBin(binMinEdges[0], binMinEdges[1], binMaxEdges[0], binMaxEdges[1]);
115 }
116
117 for (UInt_t i = 1; i <= kdBins->GetNBins(); ++i){
118 h2polrebin->SetBinContent(i, kdBins->GetBinDensity(i - 1));}
119
120 std::cout << "Bin with minimum density: " << kdBins->GetBinMinDensity() << std::endl;
121 std::cout << "Bin with maximum density: " << kdBins->GetBinMaxDensity() << std::endl;
122
123 // now make a vector with bin number vs position
124 for (UInt_t i = 0; i < DATASZ; ++i)
125 z[i] = (Double_t) h2polrebin->FindBin(smp[i], smp[DATASZ + i]);
126
127 TGraph2D *g2 = new TGraph2D(DATASZ, smp, &smp[DATASZ], &z[0]);
128 g2->SetMarkerStyle(20);
129
130
131 // plot new TH2Poly (ordered one) and TGraph2D
132 // The new TH2Poly has to be same as old one and the TGraph2D should be similar to
133 // the previous one. It is now made using as z value the bin number
134
135 TCanvas* c4 = new TCanvas("glc4", "TH2Poly from a kdTree (Ordered)",50,50,800,800);
136
137 c4->Divide(2,2);
138 c4->cd(1);
139 h2polrebin->Draw("COLZ L"); // draw as scatter plot
140
141 c4->cd(2);
142 g2->Draw("pcol");
143
144 c4->Update();
145
146 // make also the 1D binned histograms
147
148 TKDTreeBinning* kdX = new TKDTreeBinning(DATASZ, 1, &smp[0], 20);
149 TKDTreeBinning* kdY = new TKDTreeBinning(DATASZ, 1, &smp[DATASZ], 40);
150
151
152 kdX->SortOneDimBinEdges();
153 kdY->SortOneDimBinEdges();
154
155 TH1* hX=new TH1F("hX", "X projection", kdX->GetNBins(), kdX->GetOneDimBinEdges());
156 for(int i=0; i<kdX->GetNBins(); ++i){
157 hX->SetBinContent(i+1, kdX->GetBinDensity(i));
158 }
159
160 TH1* hY=new TH1F("hY", "Y Projection", kdY->GetNBins(), kdY->GetOneDimBinEdges());
161 for(int i=0; i<kdY->GetNBins(); ++i){
162 hY->SetBinContent(i+1, kdY->GetBinDensity(i));
163 }
164
165 c4->cd(3);
166 hX->Draw();
167 c4->cd(4);
168 hY->Draw();
169}
unsigned int UInt_t
Definition: RtypesCore.h:46
double Double_t
Definition: RtypesCore.h:59
Option_t Option_t TPoint TPoint const char GetTextMagnitude GetFillStyle GetLineColor GetLineWidth GetMarkerStyle GetTextAlign GetTextColor GetTextSize void char Point_t Rectangle_t WindowAttributes_t Float_t r
Option_t Option_t TPoint TPoint const char GetTextMagnitude GetFillStyle GetLineColor GetLineWidth GetMarkerStyle GetTextAlign GetTextColor GetTextSize void char Point_t Rectangle_t WindowAttributes_t Float_t Float_t g
virtual void SetMarkerStyle(Style_t mstyle=1)
Set the marker style.
Definition: TAttMarker.h:40
The Canvas class.
Definition: TCanvas.h:23
TVirtualPad * cd(Int_t subpadnumber=0) override
Set current canvas & pad.
Definition: TCanvas.cxx:706
void Update() override
Update canvas pad buffers.
Definition: TCanvas.cxx:2492
Graphics object made of three arrays X, Y and Z with the same number of points each.
Definition: TGraph2D.h:41
void Draw(Option_t *option="P0") override
Specific drawing options can be used to paint a TGraph2D:
Definition: TGraph2D.cxx:740
1-D histogram with a float per channel (see TH1 documentation)}
Definition: TH1.h:574
TH1 is the base class of all histogram classes in ROOT.
Definition: TH1.h:58
virtual Int_t Fill(Double_t x)
Increment bin with abscissa X by 1.
Definition: TH1.cxx:3348
void Draw(Option_t *option="") override
Draw this histogram with options.
Definition: TH1.cxx:3070
virtual void SetBinContent(Int_t bin, Double_t content)
Set bin content see convention for numbering bins in TH1::GetBin In case the bin number is greater th...
Definition: TH1.cxx:9099
2-D histogram with a double per channel (see TH1 documentation)}
Definition: TH2.h:300
2D Histogram with Polygonal Bins
Definition: TH2Poly.h:66
void SetFloat(Bool_t flag=true)
When set to kTRUE, allows the histogram to expand if a bin outside the limits is added.
Definition: TH2Poly.cxx:1297
Double_t GetBinContent(Int_t bin) const override
Returns the content of the input bin For the overflow/underflow/sea bins:
Definition: TH2Poly.cxx:765
Int_t FindBin(Double_t x, Double_t y, Double_t z=0) override
Returns the bin number of the bin at the given coordinate.
Definition: TH2Poly.cxx:546
virtual Int_t AddBin(TObject *poly)
Adds a new bin to the histogram.
Definition: TH2Poly.cxx:222
void SetBinContent(Int_t bin, Double_t content) override
Sets the contents of the input bin to the input content Negative values between -1 and -9 are for the...
Definition: TH2Poly.cxx:1280
<- TKDTreeBinning - A class providing multidimensional binning ->
const Double_t * GetBinMaxEdges(UInt_t bin) const
Returns the bin's maximum edges. 'bin' is between 0 and fNBins - 1.
const Double_t * GetBinsMaxEdges() const
Returns an array with all bins' maximum edges The edges are arranges as xmax_1,ymax_1,...
UInt_t GetBinMaxDensity() const
Return the bin with maximum density.
UInt_t GetNBins() const
Returns the number of bins.
Double_t GetDataMax(UInt_t dim) const
Returns the maximum of the data in the dim coordinate. 'dim' is between 0 and fDim - 1.
const Double_t * GetBinMinEdges(UInt_t bin) const
Returns the bin's minimum edges. 'bin' is between 0 and fNBins - 1.
Double_t GetDataMin(UInt_t dim) const
Returns the minimum of the data in the dim coordinate. 'dim' is between 0 and fDim - 1.
void SortBinsByDensity(Bool_t sortAsc=kTRUE)
Sorts bins by their density.
Double_t GetBinDensity(UInt_t bin) const
Returns the density in bin.
const Double_t * GetBinsMinEdges() const
Returns an array with all bins' minimum edges The edges are arranges as xmin_1,ymin_1,...
UInt_t GetBinMinDensity() const
Return the bin with minimum density.
const Double_t * GetOneDimBinEdges() const
Returns a pointer to the vector of the bin edges for one dimensional binning only.
UInt_t GetDim() const
Returns the number of dimensions.
const Double_t * SortOneDimBinEdges(Bool_t sortAsc=kTRUE)
Sort the one-dimensional bin edges and retuns a pointer to them.
void Divide(Int_t nx=1, Int_t ny=1, Float_t xmargin=0.01, Float_t ymargin=0.01, Int_t color=0) override
Automatic pad generation by division.
Definition: TPad.cxx:1152
Random number generator class based on M.
Definition: TRandom3.h:27
return c1
Definition: legend1.C:41
TH1F * h1
Definition: legend1.C:5
VecExpr< UnaryOp< Sqrt< T >, VecExpr< A, T, D >, T >, T, D > sqrt(const VecExpr< A, T, D > &rhs)